528: Extended Mathematics Major

Course Descriptions

MATH 136 – CALCULUS I. (4
semester hours) GEN ED
D-II | QR
Prerequisites: Four years of high school mathematics, including
Algebra II, geometry, and trigonometry, and satisfactory score on Math
Placement Exam and Math Placement Trig Exam; or MATH 117 or MATH 118,
with grade of C or better.
A course in one-variable calculus including topics from analytic
geometry. Limits, derivatives, integration, and applications of
polynomial, rational, trigonometric, and transcendental
functions. Includes lecture and recitation.

MATH 137 – CALCULUS II. (4 semester hours)
Prerequisites: MATH 136 with a grade of C or better.
A second course in one-variable calculus including topics from analytic
geometry. Methods of integration, sequences and series, polar and
parametric functions. Includes lecture and recitation.

MATH 275 – INTRODUCTORY TOPICS IN
MATHEMATICS. (1-3 semester
hours)
Prerequisites: MATH 136 and permission of instructor.
Varied topics selected to give students an early introduction to
interesting mathematical problems or applications not found in the
foundation sequence.

MATH 323 – GEOMETRY I. (3 semester
hours)
Prerequisite: MATH 307 with a grade of C or better.
Beginning with a re-examination of elementary Euclidean geometry, the
course includes a study of absolute plane geometry and the parallel
postulate, which leads to an axiomatic treatment of hyperbolic geometry
and related topics.

MATH 371 – ADVANCED COMPUTATIONAL PROBLEM SOLVING. (3
semester
hours)
Prerequisites: CS 180 with a grade of C or better. Prerequisite or
Corequisite: MATH 136. Special Requirement: Enrollment in the Gatton
Academy of Mathematics and Science or Honors Program eligibility at
WKU.
Problem-solving tools and techniques, with an emphasis on mathematical
reasoning, algorithmic techniques, and computational methods.
Techniques and tools are applied to (research) areas of interet to
enrolled students, in the context of a project involving program design
and implementation. The course is taught jointly by mathematics and
computer science faculty. Equivalent to CS 371.

MATH 398 – SEMINAR MATHEMATICS.
(1 semester
hour; may be repeated for up to a total of 3 hours credit.)
Prerequisite: MATH 237 with a grade of C or better.
Students will work on a topic of interest under the direction of a
mathematics faculty member who will set the requirements for the
course. Mathematics majors could have the opportunity to continue
this work in MATH 498.

MATH 406 – NUMERICAL ANALYSIS II.
(3 semester
hours)
Prerequisites: MATH 237, 307, 331, and either MATH 405 or CS
405, all with grades of C or better.
The solution of linear systems by direct and iterative methods, matrix
inversion, the calculation of eigenvalues and eigenvectors of
matrices. Initial and boundary value problems in ordinary
differential equations. Computer solution of problems will be
required.

MATH 409 – HISTORY OF MATHEMATICS.
(3 semester
hours) Prerequisite: Six hours of approved mathematics courses
at
the 300 and/or 400 level, or permission of instructor.
History of mathematics from ancient times through the development of
calculus, with emphasis on famous problems. Provides knowledge
and appreciation useful in the classroom. Term papers will be
required.

MATH 415 – ALGEBRA AND NUMBER THEORY.
(3 semester
hours)
Prerequisite: MATH 315 or 317 with a grade of C or better.
An integrated survey of modern algebra and number theory. Topics
include number systems,theory.

MATH 423 – GEOMETRY II. (3
semester
hours)
Prerequisite: MATH 323 with a grade of C or better, or permission
of instructor.
An axiomatic development of hyperbolic geometry based on the hyperbolic
parallel postulate and the absolute geometry developed in MATH 323,
including an emphasis on contrasts with Euclidean geometry.

MATH 473 – INTRODUCTION TO GRAPH THEORY. (3 semester
hours)
Prerequisites: MATH 307 and MATH 310 with grades of C or
better, or permission of instructor.
Fundamental concepts, key ideas and tools in graph theory, with an
emphasis on proof methods, algorithms and applications.
Techniques and tools are applied to practical optimization problems and
other areas of mathematics and computer science. This course is
equivalent to CS 473.

MATH 475 – SELECTED TOPICS IN MATHEMATICS.
(1-3 semester
hours)
Prerequisite: Permission of instructor.
A consideration of special topics to acquaint the advanced
undergraduate student with significant problems and developments of
current interest in mathematics. Topics may vary each semester
offered.

MATH 498 – SENIOR SEMINAR. (1-3 semester
hours)
Prerequisites: MATH 237 and MATH 317 with grades of C or
better and senior standing, or
permission of instructor.
Students will study articles in current mathematical journals or
undertake independent investigations in mathematics. Written and
oral presentations will be required.

STAT 301 – INTRODUCTORY PROBABILITY AND APPLIED STATISTICS. (3
semester hours)
Prerequisite: MATH 136 or MATH 142, with a grade of C or higher.
A calculus-based introduction to applied statistics, with emphasis on
analysis of real data. Curve fitting, probability models,
estimation and testing for means and proportions, quality control; use
of computers for data analysis and simulation.